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  • 1
    Electronic Resource
    Electronic Resource
    Trefoil symmetries I. Clover extensions beyond Coleman–Mandula theorem (2001)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 42 (2001), S. 3915-3934 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A graded minimal Lie algebraic extension of the space–time symmetry is constructed involving only spin-1 multiplets as novel generators. The extension involves Z4×Z4 graded parameters and generators. It provides a bosonic analog to supersymmetry since the composition of three symmetric vector charges produces a space–time translation. There arise three noncommutative four-dimensional manifolds with pseudometric. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1383561
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  • 2
    Electronic Resource
    Electronic Resource
    Trefoil symmetry III. The full clover extension (2001)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 42 (2001), S. 3947-3964 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We aim to approach a trefoil symmetry involving (Z4×Z4;q)-graded parameters, multiplets of generators of integer spin 〈2 with naive dimensions in the interval [0,1]. The resulting full clover extension involves as particular subalgebras the minimal clover extensions previously obtained. We address the introduction of further scalar, dimensionless multiplets, and central charges. They could provide connections among external and internal symmetries, perhaps after some graded symmetry breaking. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1383560
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  • 3
    Electronic Resource
    Electronic Resource
    Trefoil symmetry II. Another clover extension (2001)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 42 (2001), S. 3935-3946 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We construct a novel graded extension of the Poincaré group with integer spin multiplets as novel generators. The extension involves Z4×Z4 graded parameters and produce space–time translations through the composition of novel symmetric vector and scalar multiplets. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1383559
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    Paper (German National Licenses)
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